Xandra and Lucy went shopping with a total of $364. After Xandra spent
34 of her money and Lucy spent $52, the ratio of Lucy's money became 4 times as much as Xandra's money. Find the ratio of Xandra's money to Lucy's money at first.
| |
Xandra |
Lucy |
| Before |
4 u |
4 u + 52 |
| Change |
- 3 u |
- 52 |
| After |
1 u |
|
| Comparing between Xandra and Lucy in the end |
1 u |
4 u |
Total amount that Xandra and Lucy had at first
= 4 u + 4 u + 52
= 8 u + 52
8 u + 52 = 364
4 u + 3 u = 364 - 52
8 u = 312
1 u = 312 ÷ 8 = 39
Amount that Xandra had at first
= 4 u
= 4 x 39
= $156
Amount that Lucy had at first
= 364 - 156
= $208
At first
Xandra : Lucy
156 : 208
3 : 4
Answer(s): 3 : 4
